Search: id:A053835
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%I A053835
%S A053835 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,1,2,3,4,5,6,7,8,9,10,11,12,13,14,
%T A053835 15,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,3,4,5,6,7,8,9,10,11,12,13,14,
%U A053835 15,16,17,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,5,6,7,8,9,10,11,12,13
%N A053835 Sum of digits of n written in base 15.
%C A053835 a(n) = A138530(n,15) for n > 14. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Mar 26 2008
%H A053835 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DigitSum.html">Digit Sum</a>
%F A053835 a(0)=0, a(15n+i)=a(n)+i 0<=i<=14; a(n)=n-14*(sum(k>0, floor(n/15^k)). 
               - Benoit Cloitre, Dec 19, 2002
%e A053835 a(20)=1+5=6 because 20 is written as 15 base 15
%o A053835 (PARI) a(n)=if(n<1,0,if(n%15,a(n-1)+1,a(n/15)))
%Y A053835 Cf. A000120, A007953.
%Y A053835 Sequence in context: A043273 A080331 A167463 this_sequence A072965 A043274 
               A124196
%Y A053835 Adjacent sequences: A053832 A053833 A053834 this_sequence A053836 A053837 
               A053838
%K A053835 base,nonn
%O A053835 0,3
%A A053835 Henry Bottomley (se16(AT)btinternet.com), Mar 28 2000

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